{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.optimize import curve_fit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Data Set 2\n",
    "Sw=[0.369\n",
    ",0.465\n",
    ",0.527\n",
    ",0.597\n",
    ",0.723\n",
    ",0.808\n",
    ",0.836\n",
    ",0.852\n",
    ",0.857]\n",
    "krw=[\n",
    "0.000\n",
    ",0.037\n",
    ",0.068\n",
    ",0.114\n",
    ",0.206\n",
    ",0.274\n",
    ",0.295\n",
    ",0.303\n",
    ",0.324\n",
    "]\n",
    "kro=[\n",
    "0.950\n",
    ",0.640\n",
    ",0.454\n",
    ",0.270\n",
    ",0.081\n",
    ",0.028\n",
    ",0.023\n",
    ",0.006\n",
    ",0.000\n",
    "]\n",
    "kro_scwo=max(kro) #Kro at Connate water Sw \n",
    "krw_sorw=max(krw) #Krw at residual oil Sw\n",
    "Swcr=min(Sw)    #Connate water Sw\n",
    "Sorw=1-max(Sw)  #residual oil Sw"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def Krw(x, Cw):\n",
    "    #x is Sw\n",
    "    return krw_sorw* ((x-Swcr)/(1-Swcr-Sorw))**Cw\n",
    "def Kro(x, Co):\n",
    "    #x is Sw\n",
    "    return kro_scwo* ((1-x-Sorw)/(1-Swcr-Sorw))**Co"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "paras = curve_fit(Krw, Sw, krw, bounds=(1, [6.]))\n",
    "Cw_fit=paras[0]\n",
    "paras = curve_fit(Kro, Sw, kro, bounds=(1, [6.]))\n",
    "Co_fit=paras[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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Df2+fgHuxTwTuDTOdfBtupeOJXp7qOPua73H9+e8aejuKcTifYafg+mwN3Oj4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\nScnKyuLMM8+katWq9OzZMy/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hhfDKUVFQVQYPHszSpUt555136NixY8h0TZo0CRmemZmJ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa021320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(Sw, krw, color='b', label='krw')\n",
    "plt.scatter(Sw, kro, color='r', label='kro')\n",
    "plt.plot(Sw, [Krw(s,Cw_fit) for s in Sw], 'b-', label='krw-fitted')\n",
    "plt.plot(Sw, [Kro(s,Co_fit) for s in Sw], 'r-', label='kro-fitted')\n",
    "\n",
    "plt.title('Releative Permeability\\n n_w=%s  n_o=%s'%(Cw_fit,Co_fit),fontsize=16)\n",
    "plt.xlabel('Sw(%)',fontsize=16)\n",
    "plt.ylabel('Krw/Kro (%)',fontsize=16)\n",
    "plt.grid(True)\n",
    "plt.tick_params(axis='both', which='major', labelsize=16)\n",
    "plt.xlim(0, 1)\n",
    "plt.ylim(-0.01, 1)\n",
    "plt.legend(fontsize=13)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#Data Set 1\n",
    "Sw=[\n",
    "0.369\n",
    ",0.431\n",
    ",0.469\n",
    ",0.514\n",
    ",0.609\n",
    ",0.659\n",
    ",0.690\n",
    ",0.714\n",
    ",0.730\n",
    "]\n",
    "krw=[\n",
    "0.000\n",
    ",0.010\n",
    ",0.015\n",
    ",0.023\n",
    ",0.033\n",
    ",0.045\n",
    ",0.068\n",
    ",0.100\n",
    ",0.111\n",
    "]\n",
    "kro=[\n",
    "0.755\n",
    ",0.396\n",
    ",0.266\n",
    ",0.196\n",
    ",0.058\n",
    ",0.040\n",
    ",0.022\n",
    ",0.013\n",
    ",0.000\n",
    "]\n",
    "kro_scwo=max(kro) #Kro at Connate water Sw \n",
    "krw_sorw=max(krw) #Krw at residual oil Sw\n",
    "Swcr=min(Sw)    #Connate water Sw\n",
    "Sorw=1-max(Sw)  #residual oil Sw"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def Krw(x, Cw):\n",
    "    #x is Sw\n",
    "    return krw_sorw* ((x-Swcr)/(1-Swcr-Sorw))**Cw\n",
    "def Kro(x, Co):\n",
    "    #x is Sw\n",
    "    return kro_scwo* ((1-x-Sorw)/(1-Swcr-Sorw))**Co\n",
    "\n",
    "paras = curve_fit(Krw, Sw, krw, bounds=(1, [6.]))\n",
    "Cw_fit=paras[0]\n",
    "paras = curve_fit(Kro, Sw, kro, bounds=(1, [6.]))\n",
    "Co_fit=paras[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ZLtIC/4x0pDnOANwhIh/h4j5Uxz0MTsad3zJc0LVwGuKmiwr5vYhIH9wKIsUZ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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x9f6e8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(Sw, krw, color='b', label='krw')\n",
    "plt.scatter(Sw, kro, color='r', label='kro')\n",
    "plt.plot(Sw, [Krw(s,Cw_fit) for s in Sw], 'b-', label='krw-fitted')\n",
    "plt.plot(Sw, [Kro(s,Co_fit) for s in Sw], 'r-', label='kro-fitted')\n",
    "\n",
    "plt.title('Releative Permeability\\n n_w=%s  n_o=%s'%(Cw_fit,Co_fit),fontsize=16)\n",
    "plt.xlabel('Sw(%)',fontsize=16)\n",
    "plt.ylabel('Krw/Kro (%)',fontsize=16)\n",
    "plt.grid(True)\n",
    "plt.tick_params(axis='both', which='major', labelsize=16)\n",
    "plt.xlim(0, 1)\n",
    "plt.ylim(-0.01, 1)\n",
    "plt.legend(fontsize=13)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda root]",
   "language": "python",
   "name": "conda-root-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
